Details

Time bar (total: 1.7s)

analyze17.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample22.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0189
1369
2689
31179
41749
51959
61979
71979

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
2.7b
(- (* x x) (* (* y 4.0) y))
28.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
3.0ms
(+ (* x x) (* (* y 4.0) y))
3.0ms
(- (* x x) (* (* y 4.0) y))
8.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series25.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* (* y 4.0) y))
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify37.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0234680
11007622
25001620

prune93.0ms

Filtered
49 candidates to 64 candidates (-30.6%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh000
Picked101
Done000
Total61465

Merged error: 0.1b

Counts
65 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* (* y 4.0) y))
0.0b
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
2.7b
(- (* x x) (* (* y 4.0) y))
28.0b
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
15×unpow-prod-down cube-prod
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×associate-/r/
5×pow1
4×flip3-+ flip-+
3×pow-unpow associate-/r* div-inv associate-/l*
2×cbrt-undiv flip3-- div-exp pow-exp flip-- associate-/l/ rem-cube-cbrt
1×+-commutative cube-div cube-mult pow-to-exp sub-neg pow-pow frac-2neg diff-log unpow3 div-sub clear-num sum-log sqr-pow
Counts
4 → 105
Calls
4 calls:
4.0ms
(+ (* x x) (* (* y 4.0) y))
8.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
3.0ms
(- (* x x) (* (* y 4.0) y))
10.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x x) (* (* y 4.0) y))
14.0ms
(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
7.0ms
(- (* x x) (* (* y 4.0) y))
12.0ms
(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04481511
122491392
250021378

prune159.0ms

Filtered
74 candidates to 117 candidates (-58.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1170117
Fresh033
Picked011
Done000
Total1174121

Merged error: 0.1b

Counts
121 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune7.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044

Merged error: 0.1b

Counts
4 → 4

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044

Merged error: 0.1b

Counts
4 → 4

regimes248.0ms

Accuracy

61.4% (12.2b remaining)

Error of 12.5b against oracle of 0.4b and baseline of 31.9b

bsearch135.0ms

Steps
ItersRangePoint
8
5.367065866779223e+110
1.7190726063653423e+114
1.7723215719938226e+112
8
4.3361166770224173e-88
6.50815742780386e-85
1.3891525187188716e-86
6
-1.5198881499368232e-49
-3.4501185104200494e-50
-5.009107831861246e-50
9
-4.71949900514185e+158
-7.745856223683936e+152
-6.021257083971961e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03122
13122

end0.0ms

analyze11.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
93.7%6.2%0.1%7
96.8%3.1%0.1%8
99.5%0.4%0.1%9
99.7%0.2%0.1%10
99.8%0.1%0.1%11
99.9%0%0.1%12
99.9%0%0.1%13
99.9%0%0.1%14

sample745.0ms

Algorithm
intervals
Results
610.0ms8000×body80valid

Profiling

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